# Spectral Convexity for Attractive SU(2N) Fermions

## Abstract

We prove a general theorem on spectral convexity with respect to particle number for 2N degenerate components of fermions. The number of spatial dimensions is arbitrary, and the system may be uniform or constrained by an external potential. We assume only that the interactions are governed by an SU(2N)-invariant two-body potential whose Fourier transform is negative definite. The convexity result implies that the ground state is in a 2N-particle clustering phase. We discuss implications for light nuclei as well as asymmetric nuclear matter in neutron stars.

- Authors:

- Department of Physics, North Carolina State University, Raleigh, North Carolina 27695-8202 (United States)

- Publication Date:

- OSTI Identifier:
- 20951336

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review Letters; Journal Volume: 98; Journal Issue: 18; Other Information: DOI: 10.1103/PhysRevLett.98.182501; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ASYMMETRY; FERMIONS; FOURIER TRANSFORMATION; GROUND STATES; LIGHT NUCLEI; NEUTRON STARS; NUCLEAR MATTER; POTENTIALS; SU GROUPS; TWO-BODY PROBLEM

### Citation Formats

```
Lee, Dean.
```*Spectral Convexity for Attractive SU(2N) Fermions*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVLETT.98.182501.

```
Lee, Dean.
```*Spectral Convexity for Attractive SU(2N) Fermions*. United States. doi:10.1103/PHYSREVLETT.98.182501.

```
Lee, Dean. Fri .
"Spectral Convexity for Attractive SU(2N) Fermions". United States.
doi:10.1103/PHYSREVLETT.98.182501.
```

```
@article{osti_20951336,
```

title = {Spectral Convexity for Attractive SU(2N) Fermions},

author = {Lee, Dean},

abstractNote = {We prove a general theorem on spectral convexity with respect to particle number for 2N degenerate components of fermions. The number of spatial dimensions is arbitrary, and the system may be uniform or constrained by an external potential. We assume only that the interactions are governed by an SU(2N)-invariant two-body potential whose Fourier transform is negative definite. The convexity result implies that the ground state is in a 2N-particle clustering phase. We discuss implications for light nuclei as well as asymmetric nuclear matter in neutron stars.},

doi = {10.1103/PHYSREVLETT.98.182501},

journal = {Physical Review Letters},

number = 18,

volume = 98,

place = {United States},

year = {Fri May 04 00:00:00 EDT 2007},

month = {Fri May 04 00:00:00 EDT 2007}

}

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